A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find the radius of the base.
Volume of a hemisphere = (2/3)πr3
Volume of a right circular cone = (1/3)πr2h
Given, hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm
⇒ r2 = 14
⇒ r = 3.74 cm